Answer:
Answer:
They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other
Step-by-step explanation:
PQ=PA+QA
PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p
CB=2q+3p=2(q+3/2p)
Other explanation: It should be written like this PQ=q+3/2p and CB=2q+3p=2(q+3/2p) they are parallel bcs CB=2*PQ.
The answer is 705.6 cm^3.
Remember that volume of a box, rectangular prism, is: V = LWH.
So, V = 7(9)(11.2) = 705.6 cm^3
Answer:
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Step-by-step explanation:
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If you look closely the area where 3x is congruent to the other side of the 90 degree angle with one part as 0.5x + 34
So
3x + 0.5x + 34= 90
x will be 16
So plug it in
0.5(16) + 34= 42 degrees
And
3(16)= 48 degrees
That left half of the circle is 180 degrees and since we know the angle 3x is 48 degrees we subtract it from 180 to get angle AE
180-48
132 degrees is your answer
The closest distance between point A and point A' is 8.5 ⇒ B
Step-by-step explanation:
Let us revise the translation of a point
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Point A is located at (-5 , 2)
∵ Point A is translated 8 units to the right and 3 units up
- That means add x-coordinate by 8 and add y-coordinate by 3
∴ Point A' located at (-5 + 8 , 2 + 3)
∴ Point A' located at (3 , 5)
The distance between two points
and 
is 
∵ Point a = (-5 , 2) and point A' = (3 , 5)
∴
= -5 and
= 3
∴
= 2 and
= 5
- Substitute these values in the rule of the distance
∵ 
∴ 
∴ 
∴ 
∴ d = 8.544 ≅ 8.5
The closest distance between point A and point A' is 8.5
Learn more:
You can learn more about the distance between two points in brainly.com/question/6564657
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